Minimization of the buckling load of a clamped plate with perimeter constraint

2023/07/06 by Michele Carriero, Carriero, Michele, Simone Cito +3 · 1 citation
Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Topology Optimization in Engineering #Contact Mechanics and Variational Inequalities

paper · pdf · doi:10.48550/arxiv.2307.02856

Abstract

We look for minimizers of the buckling load problem with perimeter constraint in any dimension. In dimension 2, we show that the minimizing plates are convex; in higher dimension, by passing through a weaker formulation of the problem, we show that any optimal set is open and connected. For higher eigenvalues, we prove that minimizers exist among convex sets with prescribed perimeter.

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